LCM of 752, 940, 412, 470, 766
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 752, 940, 412, 470, 766 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 752, 940, 412, 470, 766. So, keep reading to learn more.
Given numbers are 752,940,412,470,766
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 752,940,412,470,766 is 148328240.
Find LCM of 752,940,412,470,766 with Prime Factorization
| 2 | 752, 940, 412, 470, 766 |
| 2 | 376, 470, 206, 235, 383 |
| 5 | 188, 235, 103, 235, 383 |
| 47 | 188, 47, 103, 47, 383 |
| 4, 1, 103, 1, 383 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 47 x 4 x 1 x 103 x 1 x 383 = 148328240
Therefore, the lowest common multiple of 752,940,412,470,766 is 148328240.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
752 x 940 x 412 x 470 x 766 = 104850266291200
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
412 : 1, 2, 4, 103, 206, 412
470 : 1, 2, 5, 10, 47, 94, 235, 470
766 : 1, 2, 383, 766
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 752,940,412,470,766, is 2.
Now, the common factors can be found like this.
752:2x 2x 2x 2x 47
940:2x 2x 5x 47
412:2x 2x 103
470:2x 5x 47
766:2x 383
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 2x 5x 47x 47 = 353440
Therefore, the value for common factors is 353440.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 104850266291200/(2x353440)
LCM = 104850266291200/706880
LCM = 148328240
Thus, we can understand that the LCM of 752,940,412,470,766 is 148328240.
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FAQs on LCM of 752, 940, 412, 470, 766
1. What is the LCM of 752, 940, 412, 470, 766?
Answer: LCM of 752, 940, 412, 470, 766 is 148328240.
2. How to calculate the LCM of 752, 940, 412, 470, 766?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 752, 940, 412, 470, 766.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.